480254845794624 has 560 divisors, whose sum is σ = 1539330707464000. Its totient is φ = 147534083334144.

The previous prime is 480254845794599. The next prime is 480254845794671. The reversal of 480254845794624 is 426497548452084.

480254845794624 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 5 + 4 + 8 + 4 + 579 + 46 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32977733967 + ... + 32977748529.

Almost surely, 2^{480254845794624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480254845794624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769665353732000).

480254845794624 is an abundant number, since it is smaller than the sum of its proper divisors (1059075861669376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480254845794624 is a wasteful number, since it uses less digits than its factorization.

480254845794624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23692 (or 23673 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 72.

The spelling of 480254845794624 in words is "four hundred eighty trillion, two hundred fifty-four billion, eight hundred forty-five million, seven hundred ninety-four thousand, six hundred twenty-four".